# How do you simplify 2x^-4y^3 and write it using only positive exponents?

Sep 22, 2016

$\frac{2 {y}^{3}}{{x}^{4}}$

#### Explanation:

Consider the following examples:

$\frac{1}{z} ^ \left(- 2\right) \to {z}^{2}$

$\frac{1}{{z}^{- 1}} \to z$

${z}^{- 3} / 2 \to \frac{1}{2 {z}^{3}}$

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Given:$\text{ "2x^(-4)y^3" " ->" } 2 \times {x}^{- 4} \times {y}^{3}$

Using the examples above as a guide we have:

$2 \times \frac{1}{{x}^{4}} \times {y}^{3}$

$\frac{2 {y}^{3}}{{x}^{4}}$